6-7(a+1)=3(2-a)

Solution for 6-7(a+1)=3(2-a) equation:

Simplifying
6 + -7(a + 1) = 3(2 + -1a)

Reorder the terms:
6 + -7(1 + a) = 3(2 + -1a)
6 + (1 * -7 + a * -7) = 3(2 + -1a)
6 + (-7 + -7a) = 3(2 + -1a)

Combine like terms: 6 + -7 = -1
-1 + -7a = 3(2 + -1a)
-1 + -7a = (2 * 3 + -1a * 3)
-1 + -7a = (6 + -3a)

Solving
-1 + -7a = 6 + -3a

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '3a' to each side of the equation.
-1 + -7a + 3a = 6 + -3a + 3a

Combine like terms: -7a + 3a = -4a
-1 + -4a = 6 + -3a + 3a

Combine like terms: -3a + 3a = 0
-1 + -4a = 6 + 0
-1 + -4a = 6

Add '1' to each side of the equation.
-1 + 1 + -4a = 6 + 1

Combine like terms: -1 + 1 = 0
0 + -4a = 6 + 1
-4a = 6 + 1

Combine like terms: 6 + 1 = 7
-4a = 7

Divide each side by '-4'.
a = -1.75

Simplifying
a = -1.75